| Week | Date | Section | Topics |
| 1 | Jan 12 | Course introduction | |
| Jan 14 | 1.1 | Review of Calculus | |
| Jan 16 | 1.2 | Roundoff errors and computer arithmetic | |
| 2 | Jan 19 | HOLIDAY | Martin Luther King Jr. Day |
| Jan 21 | Introduction to mathematical software | ||
| Jan 23 | 1.3 | Algorithms and convergence | |
| 3 | Jan 26 | 2.1 | The bisection method |
| Jan 28 | 2.2 and 2.3 | Fixed-point iteration and Newton's method | |
| Jan 30 | 2.4 | Error analysis for iterative methods | |
| 4 | Feb 2 | 2.5 | Accelerating convergence |
| Feb 4 | 2.6 | Zeros of polynomials and Muller's method | |
| Feb 6 | 2.7 | Review of Chapter 2 | |
| 5 | Feb 9 | 3.1 | Interpolation and the Lagrange polynomial |
| Feb 11 | 3.2 | Divided differences | |
| Feb 13 | 3.3 | Hermite interpolation | |
| 6 | Feb 16 | 3.4 | Cubic spline interpolation |
| Feb 18 | 3.6 | Review of Chapter 3 | |
| Feb 20 | 4.1 | Numerical differentiation | |
| 7 | Feb 23 | 4.2 | Richardson's extrapolation |
| Feb 25 | 4.3 and 4.4 | Elements of numerical integration and composite numerical integration | |
| Feb 27 | 4.5 and 4.6 | Romberg integration and adaptive quadrature methods | |
| 8 | Mar 2 | 4.7 and 4.9 | Gaussian quadrature and improper integrals |
| Mar 4 | 4.10 | Review of Chapter 4 | |
| Mar 6 | MIDTERM | Chapters 1-4 | |
| 9 | Mar 9 | 5.1 | Elementary theory of initial-value problems |
| Mar 11 | 5.2 | Euler's method | |
| Mar 13 | 5.3 | Higher-order Taylor methods | |
| 10 | Mar 16 | 5.4 | Runge-Kutta methods |
| Mar 18 | 5.6 | Multistep methods | |
| Mar 20 | 5.7 | Variable step-size multistep methods | |
| Mar 23 | HOLIDAY | Spring Break | |
| Mar 25 | HOLIDAY | Spring Break | |
| Mar 27 | HOLIDAY | Spring Break | |
| 11 | Mar 30 | 5.8 | Extrapolation methods |
| Apr 1 | 5.9 | Higher-order equations and systems | |
| Apr 3 | 5.10 | Stability | |
| 12 | Apr 6 | 5.12 | Review of Chapter 5 |
| Apr 8 | 6.1 | Linear systems of equations | |
| Apr 10 | 6.2 | Pivoting strategies | |
| 13 | Apr 13 | 6.3 | Linear algebra and matrix inversion |
| Apr 15 | 6.4 and 6.5 | The determinant of a matrix and matrix factorization | |
| Apr 17 | 6.6 | Special types of matrices | |
| 14 | Apr 20 | 6.7 | Review of Chapter 6 |
| Apr 22 | 7.3 | Iterative techniques for solving linear systems | |
| Apr 24 | 8.1 | Discrete least squares approximation | |
| 15 | Apr 27 | 9.2 | The power method |
| Apr 29 | 11.1 | The linear shooting method | |
| May 1 | REVIEW | Review of Chapters 5 and on. | |
| Final Exam | Tuesday, May 5, 1:30-4:00 pm. |